answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hammer [34]
2 years ago
11

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

rd deviation sd and round it to the nearest tenth.
Mathematics
1 answer:
sveta [45]2 years ago
4 0

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

\bar{x}=\frac{84+85+83+63+61+100+98}{7}

=82

Hence, sample standard deviation would be,

\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}

=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}

=\sqrt{\frac{1}{6}\times 1396}

=\sqrt{232.666666667}

=15.2534149182

\approx 15.3

You might be interested in
Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates
klemol [59]

Answer:

Option C is the correct choice.

Step-by-step explanation:

We are given the coordinates of rectangle and we are asked to find the correct option that describes that diagonals JL and KM are congruent.

Since we that a rectangle have four right angles.

We will use Pythagorean theorem to prove that diagonals JL and KM are congruent.

In triangle KLM we can see that KL is b units long and LM is a units long. By Pythagorean theorem \sqrt(a^{2}+b^{2})=KM

In triangle JML we can see that JM is b units long and LM is a units long. By Pythagorean theorem \sqrt(a^{2}+b^{2})=JL

Therefore, we can see that \sqrt(a^{2}+b^{2})=KM=LM and option C is the correct choice.  

7 0
2 years ago
Read 2 more answers
The sum of three consecutive integers is 192. what are the integers
iVinArrow [24]

Answer:

63, 64, 65

Step-by-step explanation:

Consecutive integers have a difference of 1 between them

let the 3 integers be n, n + 1 and n + 2 , then their sum equals 192

n + n + 1 + n + 2 = 192

3n + 3 = 192 ( subtract 3 from both sides )

3n = 189 ( divide both sides by 3 )

n = 63 ⇒ n + 1 = 64 and n + 2 = 65

the 3 integers are 63, 64 and 65


4 0
2 years ago
Read 2 more answers
Paul needs to find 310% of 72. Which expression should he use
Nataliya [291]

Answer:

3.10 * 72

Step-by-step explanation:

To find 310% of 72

Of means multiply and is means equal

310% * 72 = answer

Change to decimal form

3.10 * 72 = answer

223.20

3 0
2 years ago
Which diagram best shows how fraction bars can be used to evaluate One-half divided by one-fourth? A fraction bar labeled 1. Und
Leto [7]

Answer:

Step-by-step explanation:

The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.

That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,

(1/2) ÷ (1/4) = (1/2) × (4/1) = 2

That doesn’t help you answer this particular question, though.

6 0
1 year ago
Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and ea
Vitek1552 [10]
Well, it really depends but it could be 9 rolls of quarters, 5 rolls of quarters and 8 rolls of dimes, 4 rolls of quarters and 10 rolls of dimes, 3 rolls of quarters and 12 rolls of dimes, etc.
6 0
2 years ago
Read 2 more answers
Other questions:
  • Select the correct answer. A company that packages cold cuts needs to transport the packaged meat to the supermarket. It will co
    11·2 answers
  • The dimension of a rectangular pool are 24.5 feet by 13 feet. The depth of the water is 4 feet. Each cubic foot contains 7.48 ga
    11·2 answers
  • The water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter (m)
    6·2 answers
  • A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet,
    11·2 answers
  • What’s the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21 e. 7⁄11 an
    6·2 answers
  • An instructor gives her class a set of 10 problems with the information that the final exam will consist of a random selection o
    12·1 answer
  • A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.
    6·2 answers
  • Mr. Martin’s math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Let x be
    12·2 answers
  • -18 - 6n= 6 (1 + 3n)
    10·2 answers
  • Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30° as shown below. She knows that the hei
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!